Let ab be a two-digit number, then ab + ba is divisible by 9
Solution:
The generalised form of ab, ba can be written as follows:
(i) ab = 10a + b
(ii) ba = 10b + a
Adding (i) and (ii) we have
11a + 11b
= 11(a + b)
Hence the sum of numbers ab and ba is divisible by 11.
Therefore if ab be a two-digit number, then ab + ba is divisible by 9 is a False(F) statement.
✦ Try This: Let ab be a two-digit number, then ab - ba is divisible by 9.
The generalised form of ab, ba can be written as follows:
(i) ab = 10a + b
(ii) ba = 10b + a
Subtracting (ii) from (i) we have
9a - 9b
= 9(a - b)
Hence the difference of numbers ab and ba is divisible by 9.
Therefore if ab be a two-digit number, then ab + ba is divisible by 9 is a True(T) statement.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16
NCERT Exemplar Class 8 Maths Chapter 13 Sample Problem 8
Let ab be a two-digit number, then ab + ba is divisible by 9
Summary:
If ab be a two-digit number, then ab + ba is divisible by 9 is a false statement.
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